Here we have followed the parametrization of \(\cal {O}_\beta \)  given in Ref. [1]}.
The rotation matrix \({\cal O}_{\beta }\)  corresponds to the transformation from the original basis \((\phi _1,\phi _2,\phi _3)\)  into the Higgs basis [2]}, [3]}, [4]}, [5]}. In other words,
by the rotation matrix \({\cal O}_{\beta }\) , the NG bosons \(G^\pm \)  are identified, and the remaining two states are transformed into \((H_1^\pm ,H_2^\pm )\)  by \({\cal O}_{\gamma _+}\) .
